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Finding the Fourth Proportional to 9.52, 14.16 and 9.50

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Solution

The fourth proportional to 9.52, 14.16 and 9.50 is: 14.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.52 : 14.16 = 9.50 : x
  2. Step 2: Convert to fraction form
    9.52/14.16 = 9.50/x
  3. Step 3: Cross multiply
    9.52x = 14.16 × 9.50
  4. Step 4: Simplify right side
    9.52x = 134.52
  5. Step 5: Solve for x
    x = 134.52/9.52
  6. Step 6: Final answer
    x = 14.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.